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Finding the Fourth Proportional to 4,292.76, 6,440.60 and 2,709.64

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Solution

The fourth proportional to 4,292.76, 6,440.60 and 2,709.64 is: 4,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.76 : 6,440.60 = 2,709.64 : x
  2. Step 2: Convert to fraction form
    4,292.76/6,440.60 = 2,709.64/x
  3. Step 3: Cross multiply
    4,292.76x = 6,440.60 × 2,709.64
  4. Step 4: Simplify right side
    4,292.76x = 17,451,707.38
  5. Step 5: Solve for x
    x = 17,451,707.38/4,292.76
  6. Step 6: Final answer
    x = 4,065.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.